Business Analytics
Decision Trees
Ayush Patel and Jayati Sharma
01 April, 2024
Pre-requisite
You already….
- Understand linear regression
- Know data wrangling and data visualization in R
Before we begin
Please install and load the following packages
Access lecture slide from the course landing page
About me
I am Ayush.
I am a researcher working at the intersection of data, law, development and economics.
I teach Data Science using R at Gokhale Institute of Politics and Economics
I am a RStudio (Posit) certified tidyverse Instructor.
I am a Researcher at Oxford Poverty and Human development Initiative (OPHI), at the University of Oxford.
Reach me
ayush.ap58@gmail.com
ayush.patel@gipe.ac.in
Learning Objectives
- Learn about decision trees
What are tree-based methods?
- Decison trees - utilized for regression and classification problms
- Decision trees are
- supervised
- non-parametric
- Named so because of their heirarchial, tree-like structure
Tradeoff between flexibility and interpretability
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- For the various methods, the tradeoff between interpretability and flexibility
Source : ISLR : Chapter 2
Download the Data
- Download the
Hittersdata fromISLR2package
AtBat Hits HmRun Runs RBI Walks Years CAtBat CHits CHmRun
-Andy Allanson 293 66 1 30 29 14 1 293 66 1
-Alan Ashby 315 81 7 24 38 39 14 3449 835 69
-Alvin Davis 479 130 18 66 72 76 3 1624 457 63
-Andre Dawson 496 141 20 65 78 37 11 5628 1575 225
-Andres Galarraga 321 87 10 39 42 30 2 396 101 12
-Alfredo Griffin 594 169 4 74 51 35 11 4408 1133 19
-Al Newman 185 37 1 23 8 21 2 214 42 1
-Argenis Salazar 298 73 0 24 24 7 3 509 108 0
-Andres Thomas 323 81 6 26 32 8 2 341 86 6
-Andre Thornton 401 92 17 49 66 65 13 5206 1332 253
-Alan Trammell 574 159 21 107 75 59 10 4631 1300 90
-Alex Trevino 202 53 4 31 26 27 9 1876 467 15
-Andy VanSlyke 418 113 13 48 61 47 4 1512 392 41
-Alan Wiggins 239 60 0 30 11 22 6 1941 510 4
-Bill Almon 196 43 7 29 27 30 13 3231 825 36
-Billy Beane 183 39 3 20 15 11 3 201 42 3
-Buddy Bell 568 158 20 89 75 73 15 8068 2273 177
-Buddy Biancalana 190 46 2 24 8 15 5 479 102 5
-Bruce Bochte 407 104 6 57 43 65 12 5233 1478 100
-Bruce Bochy 127 32 8 16 22 14 8 727 180 24
-Barry Bonds 413 92 16 72 48 65 1 413 92 16
-Bobby Bonilla 426 109 3 55 43 62 1 426 109 3
-Bob Boone 22 10 1 4 2 1 6 84 26 2
-Bob Brenly 472 116 16 60 62 74 6 1924 489 67
-Bill Buckner 629 168 18 73 102 40 18 8424 2464 164
-Brett Butler 587 163 4 92 51 70 6 2695 747 17
-Bob Dernier 324 73 4 32 18 22 7 1931 491 13
-Bo Diaz 474 129 10 50 56 40 10 2331 604 61
-Bill Doran 550 152 6 92 37 81 5 2308 633 32
-Brian Downing 513 137 20 90 95 90 14 5201 1382 166
-Bobby Grich 313 84 9 42 30 39 17 6890 1833 224
-Billy Hatcher 419 108 6 55 36 22 3 591 149 8
-Bob Horner 517 141 27 70 87 52 9 3571 994 215
-Brook Jacoby 583 168 17 83 80 56 5 1646 452 44
-Bob Kearney 204 49 6 23 25 12 7 1309 308 27
-Bill Madlock 379 106 10 38 60 30 14 6207 1906 146
-Bobby Meacham 161 36 0 19 10 17 4 1053 244 3
-Bob Melvin 268 60 5 24 25 15 2 350 78 5
-Ben Oglivie 346 98 5 31 53 30 16 5913 1615 235
-Bip Roberts 241 61 1 34 12 14 1 241 61 1
-BillyJo Robidoux 181 41 1 15 21 33 2 232 50 4
-Bill Russell 216 54 0 21 18 15 18 7318 1926 46
-Billy Sample 200 57 6 23 14 14 9 2516 684 46
-Bill Schroeder 217 46 7 32 19 9 4 694 160 32
-Butch Wynegar 194 40 7 19 29 30 11 4183 1069 64
-Chris Bando 254 68 2 28 26 22 6 999 236 21
-Chris Brown 416 132 7 57 49 33 3 932 273 24
-Carmen Castillo 205 57 8 34 32 9 5 756 192 32
-Cecil Cooper 542 140 12 46 75 41 16 7099 2130 235
-Chili Davis 526 146 13 71 70 84 6 2648 715 77
-Carlton Fisk 457 101 14 42 63 22 17 6521 1767 281
-Curt Ford 214 53 2 30 29 23 2 226 59 2
-Cliff Johnson 19 7 0 1 2 1 4 41 13 1
-Carney Lansford 591 168 19 80 72 39 9 4478 1307 113
-Chet Lemon 403 101 12 45 53 39 12 5150 1429 166
-Candy Maldonado 405 102 18 49 85 20 6 950 231 29
-Carmelo Martinez 244 58 9 28 25 35 4 1335 333 49
-Charlie Moore 235 61 3 24 39 21 14 3926 1029 35
-Craig Reynolds 313 78 6 32 41 12 12 3742 968 35
-Cal Ripken 627 177 25 98 81 70 6 3210 927 133
-Cory Snyder 416 113 24 58 69 16 1 416 113 24
-Chris Speier 155 44 6 21 23 15 16 6631 1634 98
-Curt Wilkerson 236 56 0 27 15 11 4 1115 270 1
-Dave Anderson 216 53 1 31 15 22 4 926 210 9
-Doug Baker 24 3 0 1 0 2 3 159 28 0
-Don Baylor 585 139 31 93 94 62 17 7546 1982 315
-Dann Bilardello 191 37 4 12 17 14 4 773 163 16
-Daryl Boston 199 53 5 29 22 21 3 514 120 8
-Darnell Coles 521 142 20 67 86 45 4 815 205 22
-Dave Collins 419 113 1 44 27 44 12 4484 1231 32
-Dave Concepcion 311 81 3 42 30 26 17 8247 2198 100
-Darren Daulton 138 31 8 18 21 38 3 244 53 12
-Doug DeCinces 512 131 26 69 96 52 14 5347 1397 221
-Darrell Evans 507 122 29 78 85 91 18 7761 1947 347
-Dwight Evans 529 137 26 86 97 97 15 6661 1785 291
-Damaso Garcia 424 119 6 57 46 13 9 3651 1046 32
-Dan Gladden 351 97 4 55 29 39 4 1258 353 16
-Danny Heep 195 55 5 24 33 30 8 1313 338 25
-Dave Henderson 388 103 15 59 47 39 6 2174 555 80
-Donnie Hill 339 96 4 37 29 23 4 1064 290 11
-Dave Kingman 561 118 35 70 94 33 16 6677 1575 442
-Davey Lopes 255 70 7 49 35 43 15 6311 1661 154
-Don Mattingly 677 238 31 117 113 53 5 2223 737 93
-Darryl Motley 227 46 7 23 20 12 5 1325 324 44
-Dale Murphy 614 163 29 89 83 75 11 5017 1388 266
-Dwayne Murphy 329 83 9 50 39 56 9 3828 948 145
-Dave Parker 637 174 31 89 116 56 14 6727 2024 247
-Dan Pasqua 280 82 16 44 45 47 2 428 113 25
-Darrell Porter 155 41 12 21 29 22 16 5409 1338 181
-Dick Schofield 458 114 13 67 57 48 4 1350 298 28
-Don Slaught 314 83 13 39 46 16 5 1457 405 28
-Darryl Strawberry 475 123 27 76 93 72 4 1810 471 108
-Dale Sveum 317 78 7 35 35 32 1 317 78 7
-Danny Tartabull 511 138 25 76 96 61 3 592 164 28
-Dickie Thon 278 69 3 24 21 29 8 2079 565 32
-Denny Walling 382 119 13 54 58 36 12 2133 594 41
-Dave Winfield 565 148 24 90 104 77 14 7287 2083 305
-Enos Cabell 277 71 2 27 29 14 15 5952 1647 60
-Eric Davis 415 115 27 97 71 68 3 711 184 45
-Eddie Milner 424 110 15 70 47 36 7 2130 544 38
-Eddie Murray 495 151 17 61 84 78 10 5624 1679 275
-Ernest Riles 524 132 9 69 47 54 2 972 260 14
-Ed Romero 233 49 2 41 23 18 8 1350 336 7
-Ernie Whitt 395 106 16 48 56 35 10 2303 571 86
-Fred Lynn 397 114 23 67 67 53 13 5589 1632 241
-Floyd Rayford 210 37 8 15 19 15 6 994 244 36
-Franklin Stubbs 420 95 23 55 58 37 3 646 139 31
-Frank White 566 154 22 76 84 43 14 6100 1583 131
-George Bell 641 198 31 101 108 41 5 2129 610 92
-Glenn Braggs 215 51 4 19 18 11 1 215 51 4
-George Brett 441 128 16 70 73 80 14 6675 2095 209
-Greg Brock 325 76 16 33 52 37 5 1506 351 71
-Gary Carter 490 125 24 81 105 62 13 6063 1646 271
-Glenn Davis 574 152 31 91 101 64 3 985 260 53
-George Foster 284 64 14 30 42 24 18 7023 1925 348
-Gary Gaetti 596 171 34 91 108 52 6 2862 728 107
-Greg Gagne 472 118 12 63 54 30 4 793 187 14
-George Hendrick 283 77 14 45 47 26 16 6840 1910 259
-Glenn Hubbard 408 94 4 42 36 66 9 3573 866 59
-Garth Iorg 327 85 3 30 44 20 8 2140 568 16
-Gary Matthews 370 96 21 49 46 60 15 6986 1972 231
-Graig Nettles 354 77 16 36 55 41 20 8716 2172 384
-Gary Pettis 539 139 5 93 58 69 5 1469 369 12
-Gary Redus 340 84 11 62 33 47 5 1516 376 42
-Garry Templeton 510 126 2 42 44 35 11 5562 1578 44
-Gorman Thomas 315 59 16 45 36 58 13 4677 1051 268
-Greg Walker 282 78 13 37 51 29 5 1649 453 73
-Gary Ward 380 120 5 54 51 31 8 3118 900 92
-Glenn Wilson 584 158 15 70 84 42 5 2358 636 58
-Harold Baines 570 169 21 72 88 38 7 3754 1077 140
-Hubie Brooks 306 104 14 50 58 25 7 2954 822 55
-Howard Johnson 220 54 10 30 39 31 5 1185 299 40
-Hal McRae 278 70 7 22 37 18 18 7186 2081 190
-Harold Reynolds 445 99 1 46 24 29 4 618 129 1
-Harry Spilman 143 39 5 18 30 15 9 639 151 16
-Herm Winningham 185 40 4 23 11 18 3 524 125 7
-Jesse Barfield 589 170 40 107 108 69 6 2325 634 128
-Juan Beniquez 343 103 6 48 36 40 15 4338 1193 70
-Juan Bonilla 284 69 1 33 18 25 5 1407 361 6
-John Cangelosi 438 103 2 65 32 71 2 440 103 2
-Jose Canseco 600 144 33 85 117 65 2 696 173 38
-Joe Carter 663 200 29 108 121 32 4 1447 404 57
-Jack Clark 232 55 9 34 23 45 12 4405 1213 194
-Jose Cruz 479 133 10 48 72 55 17 7472 2147 153
-Julio Cruz 209 45 0 38 19 42 10 3859 916 23
-Jody Davis 528 132 21 61 74 41 6 2641 671 97
-Jim Dwyer 160 39 8 18 31 22 14 2128 543 56
-Julio Franco 599 183 10 80 74 32 5 2482 715 27
-Jim Gantner 497 136 7 58 38 26 11 3871 1066 40
-Johnny Grubb 210 70 13 32 51 28 15 4040 1130 97
-Jerry Hairston 225 61 5 32 26 26 11 1568 408 25
-Jack Howell 151 41 4 26 21 19 2 288 68 9
-John Kruk 278 86 4 33 38 45 1 278 86 4
-Jeffrey Leonard 341 95 6 48 42 20 10 2964 808 81
-Jim Morrison 537 147 23 58 88 47 10 2744 730 97
-John Moses 399 102 3 56 34 34 5 670 167 4
-Jerry Mumphrey 309 94 5 37 32 26 13 4618 1330 57
-Joe Orsulak 401 100 2 60 19 28 4 876 238 2
-Jorge Orta 336 93 9 35 46 23 15 5779 1610 128
-Jim Presley 616 163 27 83 107 32 3 1437 377 65
-Jamie Quirk 219 47 8 24 26 17 12 1188 286 23
-Johnny Ray 579 174 7 67 78 58 6 3053 880 32
-Jeff Reed 165 39 2 13 9 16 3 196 44 2
-Jim Rice 618 200 20 98 110 62 13 7127 2163 351
-Jerry Royster 257 66 5 31 26 32 14 3910 979 33
-John Russell 315 76 13 35 60 25 3 630 151 24
-Juan Samuel 591 157 16 90 78 26 4 2020 541 52
-John Shelby 404 92 11 54 49 18 6 1354 325 30
-Joel Skinner 315 73 5 23 37 16 4 450 108 6
-Jeff Stone 249 69 6 32 19 20 4 702 209 10
-Jim Sundberg 429 91 12 41 42 57 13 5590 1397 83
-Jim Traber 212 54 13 28 44 18 2 233 59 13
-Jose Uribe 453 101 3 46 43 61 3 948 218 6
-Jerry Willard 161 43 4 17 26 22 3 707 179 21
-Joel Youngblood 184 47 5 20 28 18 11 3327 890 74
-Kevin Bass 591 184 20 83 79 38 5 1689 462 40
-Kal Daniels 181 58 6 34 23 22 1 181 58 6
-Kirk Gibson 441 118 28 84 86 68 8 2723 750 126
-Ken Griffey 490 150 21 69 58 35 14 6126 1839 121
-Keith Hernandez 551 171 13 94 83 94 13 6090 1840 128
-Kent Hrbek 550 147 29 85 91 71 6 2816 815 117
-Ken Landreaux 283 74 4 34 29 22 10 3919 1062 85
-Kevin McReynolds 560 161 26 89 96 66 4 1789 470 65
-Kevin Mitchell 328 91 12 51 43 33 2 342 94 12
-Keith Moreland 586 159 12 72 79 53 9 3082 880 83
-Ken Oberkfell 503 136 5 62 48 83 10 3423 970 20
-Ken Phelps 344 85 24 69 64 88 7 911 214 64
-Kirby Puckett 680 223 31 119 96 34 3 1928 587 35
-Kurt Stillwell 279 64 0 31 26 30 1 279 64 0
-Leon Durham 484 127 20 66 65 67 7 3006 844 116
-Len Dykstra 431 127 8 77 45 58 2 667 187 9
-Larry Herndon 283 70 8 33 37 27 12 4479 1222 94
-Lee Lacy 491 141 11 77 47 37 15 4291 1240 84
-Len Matuszek 199 52 9 26 28 21 6 805 191 30
-Lloyd Moseby 589 149 21 89 86 64 7 3558 928 102
-Lance Parrish 327 84 22 53 62 38 10 4273 1123 212
-Larry Parrish 464 128 28 67 94 52 13 5829 1552 210
-Luis Rivera 166 34 0 20 13 17 1 166 34 0
-Larry Sheets 338 92 18 42 60 21 3 682 185 36
-Lonnie Smith 508 146 8 80 44 46 9 3148 915 41
-Lou Whitaker 584 157 20 95 73 63 10 4704 1320 93
-Mike Aldrete 216 54 2 27 25 33 1 216 54 2
-Marty Barrett 625 179 4 94 60 65 5 1696 476 12
-Mike Brown 243 53 4 18 26 27 4 853 228 23
-Mike Davis 489 131 19 77 55 34 7 2051 549 62
-Mike Diaz 209 56 12 22 36 19 2 216 58 12
-Mariano Duncan 407 93 8 47 30 30 2 969 230 14
-Mike Easler 490 148 14 64 78 49 13 3400 1000 113
-Mike Fitzgerald 209 59 6 20 37 27 4 884 209 14
-Mel Hall 442 131 18 68 77 33 6 1416 398 47
-Mickey Hatcher 317 88 3 40 32 19 8 2543 715 28
-Mike Heath 288 65 8 30 36 27 9 2815 698 55
-Mike Kingery 209 54 3 25 14 12 1 209 54 3
-Mike LaValliere 303 71 3 18 30 36 3 344 76 3
-Mike Marshall 330 77 19 47 53 27 6 1928 516 90
-Mike Pagliarulo 504 120 28 71 71 54 3 1085 259 54
-Mark Salas 258 60 8 28 33 18 3 638 170 17
-Mike Schmidt 20 1 0 0 0 0 2 41 9 2
-Mike Scioscia 374 94 5 36 26 62 7 1968 519 26
-Mickey Tettleton 211 43 10 26 35 39 3 498 116 14
-Milt Thompson 299 75 6 38 23 26 3 580 160 8
-Mitch Webster 576 167 8 89 49 57 4 822 232 19
-Mookie Wilson 381 110 9 61 45 32 7 3015 834 40
-Marvell Wynne 288 76 7 34 37 15 4 1644 408 16
-Mike Young 369 93 9 43 42 49 5 1258 323 54
-Nick Esasky 330 76 12 35 41 47 4 1367 326 55
-Ozzie Guillen 547 137 2 58 47 12 2 1038 271 3
-Oddibe McDowell 572 152 18 105 49 65 2 978 249 36
-Omar Moreno 359 84 4 46 27 21 12 4992 1257 37
-Ozzie Smith 514 144 0 67 54 79 9 4739 1169 13
-Ozzie Virgil 359 80 15 45 48 63 7 1493 359 61
-Phil Bradley 526 163 12 88 50 77 4 1556 470 38
-Phil Garner 313 83 9 43 41 30 14 5885 1543 104
-Pete Incaviglia 540 135 30 82 88 55 1 540 135 30
-Paul Molitor 437 123 9 62 55 40 9 4139 1203 79
-Pete O'Brien 551 160 23 86 90 87 5 2235 602 75
-Pete Rose 237 52 0 15 25 30 24 14053 4256 160
-Pat Sheridan 236 56 6 41 19 21 5 1257 329 24
-Pat Tabler 473 154 6 61 48 29 6 1966 566 29
-Rafael Belliard 309 72 0 33 31 26 5 354 82 0
-Rick Burleson 271 77 5 35 29 33 12 4933 1358 48
-Randy Bush 357 96 7 50 45 39 5 1394 344 43
-Rick Cerone 216 56 4 22 18 15 12 2796 665 43
-Ron Cey 256 70 13 42 36 44 16 7058 1845 312
-Rob Deer 466 108 33 75 86 72 3 652 142 44
-Rick Dempsey 327 68 13 42 29 45 18 3949 939 78
-Rich Gedman 462 119 16 49 65 37 7 2131 583 69
-Ron Hassey 341 110 9 45 49 46 9 2331 658 50
-Rickey Henderson 608 160 28 130 74 89 8 4071 1182 103
-Reggie Jackson 419 101 18 65 58 92 20 9528 2510 548
-Ricky Jones 33 6 0 2 4 7 1 33 6 0
-Ron Kittle 376 82 21 42 60 35 5 1770 408 115
-Ray Knight 486 145 11 51 76 40 11 3967 1102 67
-Randy Kutcher 186 44 7 28 16 11 1 186 44 7
-Rudy Law 307 80 1 42 36 29 7 2421 656 18
-Rick Leach 246 76 5 35 39 13 6 912 234 12
-Rick Manning 205 52 8 31 27 17 12 5134 1323 56
-Rance Mulliniks 348 90 11 50 45 43 10 2288 614 43
-Ron Oester 523 135 8 52 44 52 9 3368 895 39
-Rey Quinones 312 68 2 32 22 24 1 312 68 2
-Rafael Ramirez 496 119 8 57 33 21 7 3358 882 36
-Ronn Reynolds 126 27 3 8 10 5 4 239 49 3
-Ron Roenicke 275 68 5 42 42 61 6 961 238 16
-Ryne Sandberg 627 178 14 68 76 46 6 3146 902 74
-Rafael Santana 394 86 1 38 28 36 4 1089 267 3
-Rick Schu 208 57 8 32 25 18 3 653 170 17
-Ruben Sierra 382 101 16 50 55 22 1 382 101 16
-Roy Smalley 459 113 20 59 57 68 12 5348 1369 155
-Robby Thompson 549 149 7 73 47 42 1 549 149 7
-Rob Wilfong 288 63 3 25 33 16 10 2682 667 38
-Reggie Williams 303 84 4 35 32 23 2 312 87 4
-Robin Yount 522 163 9 82 46 62 13 7037 2019 153
-Steve Balboni 512 117 29 54 88 43 6 1750 412 100
-Scott Bradley 220 66 5 20 28 13 3 290 80 5
-Sid Bream 522 140 16 73 77 60 4 730 185 22
-Steve Buechele 461 112 18 54 54 35 2 680 160 24
-Shawon Dunston 581 145 17 66 68 21 2 831 210 21
-Scott Fletcher 530 159 3 82 50 47 6 1619 426 11
-Steve Garvey 557 142 21 58 81 23 18 8759 2583 271
-Steve Jeltz 439 96 0 44 36 65 4 711 148 1
-Steve Lombardozzi 453 103 8 53 33 52 2 507 123 8
-Spike Owen 528 122 1 67 45 51 4 1716 403 12
-Steve Sax 633 210 6 91 56 59 6 3070 872 19
-Tony Armas 16 2 0 1 0 0 2 28 4 0
-Tony Bernazard 562 169 17 88 73 53 8 3181 841 61
-Tom Brookens 281 76 3 42 25 20 8 2658 657 48
-Tom Brunansky 593 152 23 69 75 53 6 2765 686 133
-Tony Fernandez 687 213 10 91 65 27 4 1518 448 15
-Tim Flannery 368 103 3 48 28 54 8 1897 493 9
-Tom Foley 263 70 1 26 23 30 4 888 220 9
-Tony Gwynn 642 211 14 107 59 52 5 2364 770 27
-Terry Harper 265 68 8 26 30 29 7 1337 339 32
-Toby Harrah 289 63 7 36 41 44 17 7402 1954 195
-Tommy Herr 559 141 2 48 61 73 8 3162 874 16
-Tim Hulett 520 120 17 53 44 21 4 927 227 22
-Terry Kennedy 19 4 1 2 3 1 1 19 4 1
-Tito Landrum 205 43 2 24 17 20 7 854 219 12
-Tim Laudner 193 47 10 21 29 24 6 1136 256 42
-Tom O'Malley 181 46 1 19 18 17 5 937 238 9
-Tom Paciorek 213 61 4 17 22 3 17 4061 1145 83
-Tony Pena 510 147 10 56 52 53 7 2872 821 63
-Terry Pendleton 578 138 1 56 59 34 3 1399 357 7
-Tony Perez 200 51 2 14 29 25 23 9778 2732 379
-Tony Phillips 441 113 5 76 52 76 5 1546 397 17
-Terry Puhl 172 42 3 17 14 15 10 4086 1150 57
-Tim Raines 580 194 9 91 62 78 8 3372 1028 48
-Ted Simmons 127 32 4 14 25 12 19 8396 2402 242
-Tim Teufel 279 69 4 35 31 32 4 1359 355 31
-Tim Wallach 480 112 18 50 71 44 7 3031 771 110
-Vince Coleman 600 139 0 94 29 60 2 1236 309 1
-Von Hayes 610 186 19 107 98 74 6 2728 753 69
-Vance Law 360 81 5 37 44 37 7 2268 566 41
-Wally Backman 387 124 1 67 27 36 7 1775 506 6
-Wade Boggs 580 207 8 107 71 105 5 2778 978 32
-Will Clark 408 117 11 66 41 34 1 408 117 11
-Wally Joyner 593 172 22 82 100 57 1 593 172 22
-Wayne Krenchicki 221 53 2 21 23 22 8 1063 283 15
-Willie McGee 497 127 7 65 48 37 5 2703 806 32
-Willie Randolph 492 136 5 76 50 94 12 5511 1511 39
-Wayne Tolleson 475 126 3 61 43 52 6 1700 433 7
-Willie Upshaw 573 144 9 85 60 78 8 3198 857 97
-Willie Wilson 631 170 9 77 44 31 11 4908 1457 30
CRuns CRBI CWalks League Division PutOuts Assists Errors
-Andy Allanson 30 29 14 A E 446 33 20
-Alan Ashby 321 414 375 N W 632 43 10
-Alvin Davis 224 266 263 A W 880 82 14
-Andre Dawson 828 838 354 N E 200 11 3
-Andres Galarraga 48 46 33 N E 805 40 4
-Alfredo Griffin 501 336 194 A W 282 421 25
-Al Newman 30 9 24 N E 76 127 7
-Argenis Salazar 41 37 12 A W 121 283 9
-Andres Thomas 32 34 8 N W 143 290 19
-Andre Thornton 784 890 866 A E 0 0 0
-Alan Trammell 702 504 488 A E 238 445 22
-Alex Trevino 192 186 161 N W 304 45 11
-Andy VanSlyke 205 204 203 N E 211 11 7
-Alan Wiggins 309 103 207 A E 121 151 6
-Bill Almon 376 290 238 N E 80 45 8
-Billy Beane 20 16 11 A W 118 0 0
-Buddy Bell 1045 993 732 N W 105 290 10
-Buddy Biancalana 65 23 39 A W 102 177 16
-Bruce Bochte 643 658 653 A W 912 88 9
-Bruce Bochy 67 82 56 N W 202 22 2
-Barry Bonds 72 48 65 N E 280 9 5
-Bobby Bonilla 55 43 62 A W 361 22 2
-Bob Boone 9 9 3 A W 812 84 11
-Bob Brenly 242 251 240 N W 518 55 3
-Bill Buckner 1008 1072 402 A E 1067 157 14
-Brett Butler 442 198 317 A E 434 9 3
-Bob Dernier 291 108 180 N E 222 3 3
-Bo Diaz 246 327 166 N W 732 83 13
-Bill Doran 349 182 308 N W 262 329 16
-Brian Downing 763 734 784 A W 267 5 3
-Bobby Grich 1033 864 1087 A W 127 221 7
-Billy Hatcher 80 46 31 N W 226 7 4
-Bob Horner 545 652 337 N W 1378 102 8
-Brook Jacoby 219 208 136 A E 109 292 25
-Bob Kearney 126 132 66 A W 419 46 5
-Bill Madlock 859 803 571 N W 72 170 24
-Bobby Meacham 156 86 107 A E 70 149 12
-Bob Melvin 34 29 18 N W 442 59 6
-Ben Oglivie 784 901 560 A E 0 0 0
-Bip Roberts 34 12 14 N W 166 172 10
-BillyJo Robidoux 20 29 45 A E 326 29 5
-Bill Russell 796 627 483 N W 103 84 5
-Billy Sample 371 230 195 N W 69 1 1
-Bill Schroeder 86 76 32 A E 307 25 1
-Butch Wynegar 486 493 608 A E 325 22 2
-Chris Bando 108 117 118 A E 359 30 4
-Chris Brown 113 121 80 N W 73 177 18
-Carmen Castillo 117 107 51 A E 58 4 4
-Cecil Cooper 987 1089 431 A E 697 61 9
-Chili Davis 352 342 289 N W 303 9 9
-Carlton Fisk 1003 977 619 A W 389 39 4
-Curt Ford 32 32 27 N E 109 7 3
-Cliff Johnson 3 4 4 A E 0 0 0
-Carney Lansford 634 563 319 A W 67 147 4
-Chet Lemon 747 666 526 A E 316 6 5
-Candy Maldonado 99 138 64 N W 161 10 3
-Carmelo Martinez 164 179 194 N W 142 14 2
-Charlie Moore 441 401 333 A E 425 43 4
-Craig Reynolds 409 321 170 N W 106 206 7
-Cal Ripken 529 472 313 A E 240 482 13
-Cory Snyder 58 69 16 A E 203 70 10
-Chris Speier 698 661 777 N E 53 88 3
-Curt Wilkerson 116 64 57 A W 125 199 13
-Dave Anderson 118 69 114 N W 73 152 11
-Doug Baker 20 12 9 A W 80 4 0
-Don Baylor 1141 1179 727 A E 0 0 0
-Dann Bilardello 61 74 52 N E 391 38 8
-Daryl Boston 57 40 39 A W 152 3 5
-Darnell Coles 99 103 78 A E 107 242 23
-Dave Collins 612 344 422 A E 211 2 1
-Dave Concepcion 950 909 690 N W 153 223 10
-Darren Daulton 33 32 55 N E 244 21 4
-Doug DeCinces 712 815 548 A W 119 216 12
-Darrell Evans 1175 1152 1380 A E 808 108 2
-Dwight Evans 1082 949 989 A E 280 10 5
-Damaso Garcia 461 301 112 A E 224 286 8
-Dan Gladden 196 110 117 N W 226 7 3
-Danny Heep 144 149 153 N E 83 2 1
-Dave Henderson 285 274 186 A W 182 9 4
-Donnie Hill 123 108 55 A W 104 213 9
-Dave Kingman 901 1210 608 A W 463 32 8
-Davey Lopes 1019 608 820 N E 51 54 8
-Don Mattingly 349 401 171 A E 1377 100 6
-Darryl Motley 156 158 67 A W 92 2 2
-Dale Murphy 813 822 617 N W 303 6 6
-Dwayne Murphy 575 528 635 A W 276 6 2
-Dave Parker 978 1093 495 N W 278 9 9
-Dan Pasqua 61 70 63 A E 148 4 2
-Darrell Porter 746 805 875 A W 165 9 1
-Dick Schofield 160 123 122 A W 246 389 18
-Don Slaught 156 159 76 A W 533 40 4
-Darryl Strawberry 292 343 267 N E 226 10 6
-Dale Sveum 35 35 32 A E 45 122 26
-Danny Tartabull 87 110 71 A W 157 7 8
-Dickie Thon 258 192 162 N W 142 210 10
-Denny Walling 287 294 227 N W 59 156 9
-Dave Winfield 1135 1234 791 A E 292 9 5
-Enos Cabell 753 596 259 N W 360 32 5
-Eric Davis 156 119 99 N W 274 2 7
-Eddie Milner 335 174 258 N W 292 6 3
-Eddie Murray 884 1015 709 A E 1045 88 13
-Ernest Riles 123 92 90 A E 212 327 20
-Ed Romero 166 122 106 A E 102 132 10
-Ernie Whitt 266 323 248 A E 709 41 7
-Fred Lynn 906 926 716 A E 244 2 4
-Floyd Rayford 107 114 53 A E 40 115 15
-Franklin Stubbs 77 77 61 N W 206 10 7
-Frank White 743 693 300 A W 316 439 10
-George Bell 297 319 117 A E 269 17 10
-Glenn Braggs 19 18 11 A E 116 5 12
-George Brett 1072 1050 695 A W 97 218 16
-Greg Brock 195 219 214 N W 726 87 3
-Gary Carter 847 999 680 N E 869 62 8
-Glenn Davis 148 173 95 N W 1253 111 11
-George Foster 986 1239 666 N E 96 4 4
-Gary Gaetti 361 401 224 A W 118 334 21
-Greg Gagne 102 80 50 A W 228 377 26
-George Hendrick 915 1067 546 A W 144 6 5
-Glenn Hubbard 429 365 410 N W 282 487 19
-Garth Iorg 216 208 93 A E 91 185 12
-Gary Matthews 1070 955 921 N E 137 5 9
-Graig Nettles 1172 1267 1057 N W 83 174 16
-Gary Pettis 247 126 198 A W 462 9 7
-Gary Redus 284 141 219 N E 185 8 4
-Garry Templeton 703 519 256 N W 207 358 20
-Gorman Thomas 681 782 697 A W 0 0 0
-Greg Walker 211 280 138 A W 670 57 5
-Gary Ward 444 419 240 A W 237 8 1
-Glenn Wilson 265 316 134 N E 331 20 4
-Harold Baines 492 589 263 A W 295 15 5
-Hubie Brooks 313 377 187 N E 116 222 15
-Howard Johnson 145 154 128 N E 50 136 20
-Hal McRae 935 1088 643 A W 0 0 0
-Harold Reynolds 72 31 48 A W 278 415 16
-Harry Spilman 80 97 61 N W 138 15 1
-Herm Winningham 58 37 47 N E 97 2 2
-Jesse Barfield 371 376 238 A E 368 20 3
-Juan Beniquez 581 421 325 A E 211 56 13
-Juan Bonilla 139 98 111 A E 122 140 5
-John Cangelosi 67 32 71 A W 276 7 9
-Jose Canseco 101 130 69 A W 319 4 14
-Joe Carter 210 222 68 A E 241 8 6
-Jack Clark 702 705 625 N E 623 35 3
-Jose Cruz 980 1032 854 N W 237 5 4
-Julio Cruz 557 279 478 A W 132 205 5
-Jody Davis 273 383 226 N E 885 105 8
-Jim Dwyer 304 268 298 A E 33 3 0
-Julio Franco 330 326 158 A E 231 374 18
-Jim Gantner 450 367 241 A E 304 347 10
-Johnny Grubb 544 462 551 A E 0 0 0
-Jerry Hairston 202 185 257 A W 132 9 0
-Jack Howell 45 39 35 A W 28 56 2
-John Kruk 33 38 45 N W 102 4 2
-Jeffrey Leonard 379 428 221 N W 158 4 5
-Jim Morrison 302 351 174 N E 92 257 20
-John Moses 89 48 54 A W 211 9 3
-Jerry Mumphrey 616 522 436 N E 161 3 3
-Joe Orsulak 126 44 55 N E 193 11 4
-Jorge Orta 730 741 497 A W 0 0 0
-Jim Presley 181 227 82 A W 110 308 15
-Jamie Quirk 100 125 63 A W 260 58 4
-Johnny Ray 366 337 218 N E 280 479 5
-Jeff Reed 18 10 18 A W 332 19 2
-Jim Rice 1104 1289 564 A E 330 16 8
-Jerry Royster 518 324 382 N W 87 166 14
-John Russell 68 94 55 N E 498 39 13
-Juan Samuel 310 226 91 N E 290 440 25
-John Shelby 188 135 63 A E 222 5 5
-Joel Skinner 38 46 28 A W 227 15 3
-Jeff Stone 97 48 44 N E 103 8 2
-Jim Sundberg 578 579 644 A W 686 46 4
-Jim Traber 31 46 20 A E 243 23 5
-Jose Uribe 96 72 91 N W 249 444 16
-Jerry Willard 77 99 76 A W 300 12 2
-Joel Youngblood 419 382 304 N W 49 2 0
-Kevin Bass 219 195 82 N W 303 12 5
-Kal Daniels 34 23 22 N W 88 0 3
-Kirk Gibson 433 420 309 A E 190 2 2
-Ken Griffey 983 707 600 A E 96 5 3
-Keith Hernandez 969 900 917 N E 1199 149 5
-Kent Hrbek 405 474 319 A W 1218 104 10
-Ken Landreaux 505 456 283 N W 145 5 7
-Kevin McReynolds 233 260 155 N W 332 9 8
-Kevin Mitchell 51 44 33 N E 145 59 8
-Keith Moreland 363 477 295 N E 181 13 4
-Ken Oberkfell 408 303 414 N W 65 258 8
-Ken Phelps 150 156 187 A W 0 0 0
-Kirby Puckett 262 201 91 A W 429 8 6
-Kurt Stillwell 31 26 30 N W 107 205 16
-Leon Durham 436 458 377 N E 1231 80 7
-Len Dykstra 117 64 88 N E 283 8 3
-Larry Herndon 557 483 307 A E 156 2 2
-Lee Lacy 615 430 340 A E 239 8 2
-Len Matuszek 113 119 87 N W 235 22 5
-Lloyd Moseby 513 471 351 A E 371 6 6
-Lance Parrish 577 700 334 A E 483 48 6
-Larry Parrish 740 840 452 A W 0 0 0
-Luis Rivera 20 13 17 N E 64 119 9
-Larry Sheets 88 112 50 A E 0 0 0
-Lonnie Smith 571 289 326 A W 245 5 9
-Lou Whitaker 724 522 576 A E 276 421 11
-Mike Aldrete 27 25 33 N W 317 36 1
-Marty Barrett 216 163 166 A E 303 450 14
-Mike Brown 101 110 76 N E 107 3 3
-Mike Davis 300 263 153 A W 310 9 9
-Mike Diaz 24 37 19 N E 201 6 3
-Mariano Duncan 121 69 68 N W 172 317 25
-Mike Easler 445 491 301 A E 0 0 0
-Mike Fitzgerald 66 106 92 N E 415 35 3
-Mel Hall 210 203 136 A E 233 7 7
-Mickey Hatcher 269 270 118 A W 220 16 4
-Mike Heath 315 325 189 N E 259 30 10
-Mike Kingery 25 14 12 A W 102 6 3
-Mike LaValliere 20 36 45 N E 468 47 6
-Mike Marshall 247 288 161 N W 149 8 6
-Mike Pagliarulo 150 167 114 A E 103 283 19
-Mark Salas 80 75 36 A W 358 32 8
-Mike Schmidt 6 7 4 N E 78 220 6
-Mike Scioscia 181 199 288 N W 756 64 15
-Mickey Tettleton 59 55 78 A W 463 32 8
-Milt Thompson 71 33 44 N E 212 1 2
-Mitch Webster 132 83 79 N E 325 12 8
-Mookie Wilson 451 249 168 N E 228 7 5
-Marvell Wynne 198 120 113 N W 203 3 3
-Mike Young 181 177 157 A E 149 1 6
-Nick Esasky 167 198 167 N W 512 30 5
-Ozzie Guillen 129 80 24 A W 261 459 22
-Oddibe McDowell 168 91 101 A W 325 13 3
-Omar Moreno 699 386 387 N W 151 8 5
-Ozzie Smith 583 374 528 N E 229 453 15
-Ozzie Virgil 176 202 175 N W 682 93 13
-Phil Bradley 245 167 174 A W 250 11 1
-Phil Garner 751 714 535 N W 58 141 23
-Pete Incaviglia 82 88 55 A W 157 6 14
-Paul Molitor 676 390 364 A E 82 170 15
-Pete O'Brien 278 328 273 A W 1224 115 11
-Pete Rose 2165 1314 1566 N W 523 43 6
-Pat Sheridan 166 125 105 A E 172 1 4
-Pat Tabler 250 252 178 A E 846 84 9
-Rafael Belliard 41 32 26 N E 117 269 12
-Rick Burleson 630 435 403 A W 62 90 3
-Randy Bush 178 192 136 A W 167 2 4
-Rick Cerone 266 304 198 A E 391 44 4
-Ron Cey 965 1128 990 N E 41 118 8
-Rob Deer 102 109 102 A E 286 8 8
-Rick Dempsey 438 380 466 A E 659 53 7
-Rich Gedman 244 288 150 A E 866 65 6
-Ron Hassey 249 322 274 A E 251 9 4
-Rickey Henderson 862 417 708 A E 426 4 6
-Reggie Jackson 1509 1659 1342 A W 0 0 0
-Ricky Jones 2 4 7 A W 205 5 4
-Ron Kittle 238 299 157 A W 0 0 0
-Ray Knight 410 497 284 N E 88 204 16
-Randy Kutcher 28 16 11 N W 99 3 1
-Rudy Law 379 198 184 A W 145 2 2
-Rick Leach 102 96 80 A E 44 0 1
-Rick Manning 643 445 459 A E 155 3 2
-Rance Mulliniks 295 273 269 A E 60 176 6
-Ron Oester 377 284 296 N W 367 475 19
-Rey Quinones 32 22 24 A E 86 150 15
-Rafael Ramirez 365 280 165 N W 155 371 29
-Ronn Reynolds 16 13 14 N E 190 2 9
-Ron Roenicke 128 104 172 N E 181 3 2
-Ryne Sandberg 494 345 242 N E 309 492 5
-Rafael Santana 94 71 76 N E 203 369 16
-Rick Schu 98 54 62 N E 42 94 13
-Ruben Sierra 50 55 22 A W 200 7 6
-Roy Smalley 713 660 735 A W 0 0 0
-Robby Thompson 73 47 42 N W 255 450 17
-Rob Wilfong 315 259 204 A W 135 257 7
-Reggie Williams 39 32 23 N W 179 5 3
-Robin Yount 1043 827 535 A E 352 9 1
-Steve Balboni 204 276 155 A W 1236 98 18
-Scott Bradley 27 31 15 A W 281 21 3
-Sid Bream 93 106 86 N E 1320 166 17
-Steve Buechele 76 75 49 A W 111 226 11
-Shawon Dunston 106 86 40 N E 320 465 32
-Scott Fletcher 218 149 163 A W 196 354 15
-Steve Garvey 1138 1299 478 N W 1160 53 7
-Steve Jeltz 68 56 99 N E 229 406 22
-Steve Lombardozzi 63 39 58 A W 289 407 6
-Spike Owen 211 146 155 A W 209 372 17
-Steve Sax 420 230 274 N W 367 432 16
-Tony Armas 1 0 0 A E 247 4 8
-Tony Bernazard 450 342 373 A E 351 442 17
-Tom Brookens 324 300 179 A E 106 144 7
-Tom Brunansky 369 384 321 A W 315 10 6
-Tony Fernandez 196 137 89 A E 294 445 13
-Tim Flannery 207 162 198 N W 209 246 3
-Tom Foley 83 82 86 N E 81 147 4
-Tony Gwynn 352 230 193 N W 337 19 4
-Terry Harper 135 163 128 N W 92 5 3
-Toby Harrah 1115 919 1153 A W 166 211 7
-Tommy Herr 421 349 359 N E 352 414 9
-Tim Hulett 106 80 52 A W 70 144 11
-Terry Kennedy 2 3 1 N W 692 70 8
-Tito Landrum 105 99 71 N E 131 6 1
-Tim Laudner 129 139 106 A W 299 13 5
-Tom O'Malley 88 95 104 A E 37 98 9
-Tom Paciorek 488 491 244 A W 178 45 4
-Tony Pena 307 340 174 N E 810 99 18
-Terry Pendleton 149 161 87 N E 133 371 20
-Tony Perez 1272 1652 925 N W 398 29 7
-Tony Phillips 226 149 191 A W 160 290 11
-Terry Puhl 579 363 406 N W 65 0 0
-Tim Raines 604 314 469 N E 270 13 6
-Ted Simmons 1048 1348 819 N W 167 18 6
-Tim Teufel 180 148 158 N E 133 173 9
-Tim Wallach 338 406 239 N E 94 270 16
-Vince Coleman 201 69 110 N E 300 12 9
-Von Hayes 399 366 286 N E 1182 96 13
-Vance Law 279 257 246 N E 170 284 3
-Wally Backman 272 125 194 N E 186 290 17
-Wade Boggs 474 322 417 A E 121 267 19
-Will Clark 66 41 34 N W 942 72 11
-Wally Joyner 82 100 57 A W 1222 139 15
-Wayne Krenchicki 107 124 106 N E 325 58 6
-Willie McGee 379 311 138 N E 325 9 3
-Willie Randolph 897 451 875 A E 313 381 20
-Wayne Tolleson 217 93 146 A W 37 113 7
-Willie Upshaw 470 420 332 A E 1314 131 12
-Willie Wilson 775 357 249 A W 408 4 3
Salary NewLeague
-Andy Allanson NA A
-Alan Ashby 475.000 N
-Alvin Davis 480.000 A
-Andre Dawson 500.000 N
-Andres Galarraga 91.500 N
-Alfredo Griffin 750.000 A
-Al Newman 70.000 A
-Argenis Salazar 100.000 A
-Andres Thomas 75.000 N
-Andre Thornton 1100.000 A
-Alan Trammell 517.143 A
-Alex Trevino 512.500 N
-Andy VanSlyke 550.000 N
-Alan Wiggins 700.000 A
-Bill Almon 240.000 N
-Billy Beane NA A
-Buddy Bell 775.000 N
-Buddy Biancalana 175.000 A
-Bruce Bochte NA A
-Bruce Bochy 135.000 N
-Barry Bonds 100.000 N
-Bobby Bonilla 115.000 N
-Bob Boone NA A
-Bob Brenly 600.000 N
-Bill Buckner 776.667 A
-Brett Butler 765.000 A
-Bob Dernier 708.333 N
-Bo Diaz 750.000 N
-Bill Doran 625.000 N
-Brian Downing 900.000 A
-Bobby Grich NA A
-Billy Hatcher 110.000 N
-Bob Horner NA N
-Brook Jacoby 612.500 A
-Bob Kearney 300.000 A
-Bill Madlock 850.000 N
-Bobby Meacham NA A
-Bob Melvin 90.000 N
-Ben Oglivie NA A
-Bip Roberts NA N
-BillyJo Robidoux 67.500 A
-Bill Russell NA N
-Billy Sample NA N
-Bill Schroeder 180.000 A
-Butch Wynegar NA A
-Chris Bando 305.000 A
-Chris Brown 215.000 N
-Carmen Castillo 247.500 A
-Cecil Cooper NA A
-Chili Davis 815.000 N
-Carlton Fisk 875.000 A
-Curt Ford 70.000 N
-Cliff Johnson NA A
-Carney Lansford 1200.000 A
-Chet Lemon 675.000 A
-Candy Maldonado 415.000 N
-Carmelo Martinez 340.000 N
-Charlie Moore NA A
-Craig Reynolds 416.667 N
-Cal Ripken 1350.000 A
-Cory Snyder 90.000 A
-Chris Speier 275.000 N
-Curt Wilkerson 230.000 A
-Dave Anderson 225.000 N
-Doug Baker NA A
-Don Baylor 950.000 A
-Dann Bilardello NA N
-Daryl Boston 75.000 A
-Darnell Coles 105.000 A
-Dave Collins NA A
-Dave Concepcion 320.000 N
-Darren Daulton NA N
-Doug DeCinces 850.000 A
-Darrell Evans 535.000 A
-Dwight Evans 933.333 A
-Damaso Garcia 850.000 N
-Dan Gladden 210.000 A
-Danny Heep NA N
-Dave Henderson 325.000 A
-Donnie Hill 275.000 A
-Dave Kingman NA A
-Davey Lopes 450.000 N
-Don Mattingly 1975.000 A
-Darryl Motley NA A
-Dale Murphy 1900.000 N
-Dwayne Murphy 600.000 A
-Dave Parker 1041.667 N
-Dan Pasqua 110.000 A
-Darrell Porter 260.000 A
-Dick Schofield 475.000 A
-Don Slaught 431.500 A
-Darryl Strawberry 1220.000 N
-Dale Sveum 70.000 A
-Danny Tartabull 145.000 A
-Dickie Thon NA N
-Denny Walling 595.000 N
-Dave Winfield 1861.460 A
-Enos Cabell NA N
-Eric Davis 300.000 N
-Eddie Milner 490.000 N
-Eddie Murray 2460.000 A
-Ernest Riles NA A
-Ed Romero 375.000 A
-Ernie Whitt NA A
-Fred Lynn NA A
-Floyd Rayford NA A
-Franklin Stubbs NA N
-Frank White 750.000 A
-George Bell 1175.000 A
-Glenn Braggs 70.000 A
-George Brett 1500.000 A
-Greg Brock 385.000 A
-Gary Carter 1925.571 N
-Glenn Davis 215.000 N
-George Foster NA N
-Gary Gaetti 900.000 A
-Greg Gagne 155.000 A
-George Hendrick 700.000 A
-Glenn Hubbard 535.000 N
-Garth Iorg 362.500 A
-Gary Matthews 733.333 N
-Graig Nettles 200.000 N
-Gary Pettis 400.000 A
-Gary Redus 400.000 A
-Garry Templeton 737.500 N
-Gorman Thomas NA A
-Greg Walker 500.000 A
-Gary Ward 600.000 A
-Glenn Wilson 662.500 N
-Harold Baines 950.000 A
-Hubie Brooks 750.000 N
-Howard Johnson 297.500 N
-Hal McRae 325.000 A
-Harold Reynolds 87.500 A
-Harry Spilman 175.000 N
-Herm Winningham 90.000 N
-Jesse Barfield 1237.500 A
-Juan Beniquez 430.000 A
-Juan Bonilla NA N
-John Cangelosi 100.000 N
-Jose Canseco 165.000 A
-Joe Carter 250.000 A
-Jack Clark 1300.000 N
-Jose Cruz 773.333 N
-Julio Cruz NA A
-Jody Davis 1008.333 N
-Jim Dwyer 275.000 A
-Julio Franco 775.000 A
-Jim Gantner 850.000 A
-Johnny Grubb 365.000 A
-Jerry Hairston NA A
-Jack Howell 95.000 A
-John Kruk 110.000 N
-Jeffrey Leonard 100.000 N
-Jim Morrison 277.500 N
-John Moses 80.000 A
-Jerry Mumphrey 600.000 N
-Joe Orsulak NA N
-Jorge Orta NA A
-Jim Presley 200.000 A
-Jamie Quirk NA A
-Johnny Ray 657.000 N
-Jeff Reed 75.000 N
-Jim Rice 2412.500 A
-Jerry Royster 250.000 A
-John Russell 155.000 N
-Juan Samuel 640.000 N
-John Shelby 300.000 A
-Joel Skinner 110.000 A
-Jeff Stone NA N
-Jim Sundberg 825.000 N
-Jim Traber NA A
-Jose Uribe 195.000 N
-Jerry Willard NA A
-Joel Youngblood 450.000 N
-Kevin Bass 630.000 N
-Kal Daniels 86.500 N
-Kirk Gibson 1300.000 A
-Ken Griffey 1000.000 N
-Keith Hernandez 1800.000 N
-Kent Hrbek 1310.000 A
-Ken Landreaux 737.500 N
-Kevin McReynolds 625.000 N
-Kevin Mitchell 125.000 N
-Keith Moreland 1043.333 N
-Ken Oberkfell 725.000 N
-Ken Phelps 300.000 A
-Kirby Puckett 365.000 A
-Kurt Stillwell 75.000 N
-Leon Durham 1183.333 N
-Len Dykstra 202.500 N
-Larry Herndon 225.000 A
-Lee Lacy 525.000 A
-Len Matuszek 265.000 N
-Lloyd Moseby 787.500 A
-Lance Parrish 800.000 N
-Larry Parrish 587.500 A
-Luis Rivera NA N
-Larry Sheets 145.000 A
-Lonnie Smith NA A
-Lou Whitaker 420.000 A
-Mike Aldrete 75.000 N
-Marty Barrett 575.000 A
-Mike Brown NA N
-Mike Davis 780.000 A
-Mike Diaz 90.000 N
-Mariano Duncan 150.000 N
-Mike Easler 700.000 N
-Mike Fitzgerald NA N
-Mel Hall 550.000 A
-Mickey Hatcher NA A
-Mike Heath 650.000 A
-Mike Kingery 68.000 A
-Mike LaValliere 100.000 N
-Mike Marshall 670.000 N
-Mike Pagliarulo 175.000 A
-Mark Salas 137.000 A
-Mike Schmidt 2127.333 N
-Mike Scioscia 875.000 N
-Mickey Tettleton 120.000 A
-Milt Thompson 140.000 N
-Mitch Webster 210.000 N
-Mookie Wilson 800.000 N
-Marvell Wynne 240.000 N
-Mike Young 350.000 A
-Nick Esasky NA N
-Ozzie Guillen 175.000 A
-Oddibe McDowell 200.000 A
-Omar Moreno NA N
-Ozzie Smith 1940.000 N
-Ozzie Virgil 700.000 N
-Phil Bradley 750.000 A
-Phil Garner 450.000 N
-Pete Incaviglia 172.000 A
-Paul Molitor 1260.000 A
-Pete O'Brien NA A
-Pete Rose 750.000 N
-Pat Sheridan 190.000 A
-Pat Tabler 580.000 A
-Rafael Belliard 130.000 N
-Rick Burleson 450.000 A
-Randy Bush 300.000 A
-Rick Cerone 250.000 A
-Ron Cey 1050.000 A
-Rob Deer 215.000 A
-Rick Dempsey 400.000 A
-Rich Gedman NA A
-Ron Hassey 560.000 A
-Rickey Henderson 1670.000 A
-Reggie Jackson 487.500 A
-Ricky Jones NA A
-Ron Kittle 425.000 A
-Ray Knight 500.000 A
-Randy Kutcher NA N
-Rudy Law NA A
-Rick Leach 250.000 A
-Rick Manning 400.000 A
-Rance Mulliniks 450.000 A
-Ron Oester 750.000 N
-Rey Quinones 70.000 A
-Rafael Ramirez 875.000 N
-Ronn Reynolds 190.000 N
-Ron Roenicke 191.000 N
-Ryne Sandberg 740.000 N
-Rafael Santana 250.000 N
-Rick Schu 140.000 N
-Ruben Sierra 97.500 A
-Roy Smalley 740.000 A
-Robby Thompson 140.000 N
-Rob Wilfong 341.667 A
-Reggie Williams NA N
-Robin Yount 1000.000 A
-Steve Balboni 100.000 A
-Scott Bradley 90.000 A
-Sid Bream 200.000 N
-Steve Buechele 135.000 A
-Shawon Dunston 155.000 N
-Scott Fletcher 475.000 A
-Steve Garvey 1450.000 N
-Steve Jeltz 150.000 N
-Steve Lombardozzi 105.000 A
-Spike Owen 350.000 A
-Steve Sax 90.000 N
-Tony Armas NA A
-Tony Bernazard 530.000 A
-Tom Brookens 341.667 A
-Tom Brunansky 940.000 A
-Tony Fernandez 350.000 A
-Tim Flannery 326.667 N
-Tom Foley 250.000 N
-Tony Gwynn 740.000 N
-Terry Harper 425.000 A
-Toby Harrah NA A
-Tommy Herr 925.000 N
-Tim Hulett 185.000 A
-Terry Kennedy 920.000 A
-Tito Landrum 286.667 N
-Tim Laudner 245.000 A
-Tom O'Malley NA A
-Tom Paciorek 235.000 A
-Tony Pena 1150.000 N
-Terry Pendleton 160.000 N
-Tony Perez NA N
-Tony Phillips 425.000 A
-Terry Puhl 900.000 N
-Tim Raines NA N
-Ted Simmons 500.000 N
-Tim Teufel 277.500 N
-Tim Wallach 750.000 N
-Vince Coleman 160.000 N
-Von Hayes 1300.000 N
-Vance Law 525.000 N
-Wally Backman 550.000 N
-Wade Boggs 1600.000 A
-Will Clark 120.000 N
-Wally Joyner 165.000 A
-Wayne Krenchicki NA N
-Willie McGee 700.000 N
-Willie Randolph 875.000 A
-Wayne Tolleson 385.000 A
-Willie Upshaw 960.000 A
-Willie Wilson 1000.000 A- Take a look at the variables in the data
Decision Trees - Regression
- Task - You want to predict
Salaryof players from the number ofYearsthey played and the number ofHitsin the previous year - Can you write a regression equation for this?
- Let us take a look at the plot
Decision Trees - Regression
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- You want to predict
Salary(annual salary of player )fromYears(Number of years in leagues) andHits(Number of hits) - Look at the decision tree below
Source : ISLR : Chapter 8
Decision Trees
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- The first split in the tree is such that all observations where Years < 4.5 are in the left branch
- The predicted salary for these players is given by the mean response of all observations in this split
- For these observations, salary is log of 5.107 i.e. $165,174
- All the observations where Years > 4.5 are on the other side, which are further split based on the number of hits in the previous season
- Overall, the tree divides the data into 3 regions as - \[R_1 = (X | Years <4.5) , R_2 =(X | Years>=4.5, Hits<117.5), R3 = (X | Years>=4.5, Hits>=117.5)\]
Decision Trees - Terminologies
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- As like the tree analogy, the regions \[R_1, R_2, R_3\] are known as terminal nodes, just like leaves of the tree
- The points along the tree where the predictor space is split are referred to as internal nodes
- The lines that connect the tree to the nodes are the branches
Decision Trees - Regression
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- For better understanding, let us also look at a graph which shows how the regions are split
- Why boxes? Simply because they are easier to interpret
Source : ISLR : Chapter 8
The process of building a decision trees
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- Simply put, two steps:
- You have N (n1, n2, n3, n4 ….) predictors in the space into non-overlapping regions (R1, R2, R3…..Rj)
- For each observation that we make for a region R1 , we assume that all the observations lying in that region have the same prediction, which is given by the mean of the all the values in that region
Decision Trees - Recursive Binary Splitting
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- The goal is to find boxes R1, . . . , Rj that minimize the RSS, given by
\[\sum_{j=1}^J \sum_{i \in Rj}{(y_i - \hat y_{Rj})}^2\] where \[\hat y_{Rj}\] is the mean response for the training observations within the jth box
Decision Trees - Recursive Binary Splitting
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- Since it is not computationally feasible to calculate this for each possible predictor, we use the top down, greedy approach
- Also called the recursive binary splitting method
- Named so because it begins at the start of the tree - at a point where all the observations belong to a single region
- It then successively splits the predictor space such that each split is indicated via two new branches further down on the tree
- Also named greedy approach because at each step, the best split is made at that particular step, rather than looking ahead and picking a split that will lead to a better tree in some future step
Decision Trees - Tree Pruning
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
- The previous approach would overfit the data
- An alternative approach is tree pruning
- Grow a very large tree and then prune it in order to obtain a subtree
- How can we decide the way to prune a tree?
- This becomes a problem since there are infinite options to do so, given the large number of subtrees
- Cost complexity pruning , also known as weakest link pruning provides a way
- Rather than considering every possible subtree, we consider a sequence of trees indexed by a nonnegative tuning parameter α
Decision Trees - Tree Pruning
Content for this topic has been sourced from An Introduction to Statistical Learning. Please check out the work for detailed information.
\[\sum_{m=1}^{|T|} \sum_{x \in Rm}{(y_i - \hat y_{Rm})}^2 + \alpha * |T|\]
- Number of terminal nodes of the tree T is denoted by |T|
- Rm is the rectangle corresponding to the mth terminal node
- \[\hat y_{Rm}\] is the predicted response associated with Rm (mean of the training observations in Rm)
- The tuning parameter α controls a trade-off between the subtree’s complexity and its fit to the training data
- As α increases, there is a price to pay for having a tree with many terminal nodes, and so there would be a smaller subtree
Decision Trees - Hitters Data
- Making the decision tree
